353410122245400 has 576 divisors, whose sum is σ = 1316254660381440. Its totient is φ = 84253841280000.

The previous prime is 353410122245363. The next prime is 353410122245507. The reversal of 353410122245400 is 4542221014353.

It is a happy number.

353410122245400 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 1 + 0 + 1 + 2 + 2 + 245 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6680315349 + ... + 6680368251.

It is an arithmetic number, because the mean of its divisors is an integer number (2285164340940).

Almost surely, 2^{353410122245400} is an apocalyptic number.

353410122245400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353410122245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658127330190720).

353410122245400 is an abundant number, since it is smaller than the sum of its proper divisors (962844538136040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353410122245400 is a wasteful number, since it uses less digits than its factorization.

353410122245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58528 (or 58516 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 353410122245400 its reverse (4542221014353), we get a palindrome (357952343259753).

The spelling of 353410122245400 in words is "three hundred fifty-three trillion, four hundred ten billion, one hundred twenty-two million, two hundred forty-five thousand, four hundred".